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Instantons and vacuum expectation values in the Schwinger model

  • Theoretical Physics
  • Published:
Zeitschrift für Physik C Particles and Fields

Abstract

Vacuum expectation values for the Schwinger model are computed within the path integral formalism for an instanton vacuum. The calculations are done in flat Euclidean space and use the wellknown anomaly result. It can be demonstrated that the instanton vacuum is absolutely necessary to obtain a consistent quantization. At last the results are compared to a similar treatment on the sphere and to the operator solution of the Schwinger model.

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Authors and Affiliations

  1. Institut für Theoretische Physik, Universität Wien, Boltzmanngasse 5, A-1090, Wien, Austria

    C. Adam

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  1. C. Adam
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Supported by “Fonds zur Förderung der wissenschaftlichen Forschung in Österreich”, Projekt Nr. P8444-TEC

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Adam, C. Instantons and vacuum expectation values in the Schwinger model. Z. Phys. C - Particles and Fields 63, 169–180 (1994). https://doi.org/10.1007/BF01577557

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  • DOI: https://doi.org/10.1007/BF01577557

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